Fixed points and compact weighted composition operators on Banach weighted Hardy spaces


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	Fixed points and compact weighted composition operators on Banach weighted Hardy spaces


	Fixed Point Theory, Volume 19, No. 1, 2018, 421-432, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.33 Authors: Zahra Fattahi Vanani, Ali Iloon Kashkooly and Bahmann Yousefi Abstract: We consider weightedcomposition operators C_ψ,φ acting on Banach weighted Hardy spaces in the open unit disk such that the norms of the kernel functions for the appropriate order derivatives tend to infinity as one approaches the boundary. We investigate the relation between the compactness of C_ψ,φ, the angular derivatives and the fixed points of φ, and we will see that compactness of C_ψ,φ for some weight functions ψ forces φ to have a fixed point inside the open unit disk. Key Words and Phrases: Banach weighted Hardy spaces, bounded point evaluation, weighted composition operator, Denjoy-Wolff point, fixed point. 2010 Mathematics Subject Classification: 47B33, 47B37. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents